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Complete Characterization of Yannelis-Zame and Chichilnisky-Kalman-Mas-Colell Properness Conditions on Preferences for Separable Concave Functions Defined in L[superscript p subscript +] and L[superscript p]

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  • Le Van, Cuong

Abstract

Properness of preferences are useful for providing existences of an equilibrium and of supporting prices in Banach Lattices. In this paper we characterize completely properness and uniform properness for separable concave functions defined in L[subscript {plus}][superscript p]. We prove also that every separable concave function which is well-defined in L[p] is automatically continuous.

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  • Le Van, Cuong, 1996. "Complete Characterization of Yannelis-Zame and Chichilnisky-Kalman-Mas-Colell Properness Conditions on Preferences for Separable Concave Functions Defined in L[superscript p subscript +] and L[supersc," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 155-166, June.
    • Handle: RePEc:spr:joecth:v:8:y:1996:i:1:p:155-66
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    Cited by:

    1. Cuong Van & Raouf Boucekkine & Cagri Saglam, 2007. "Optimal Control in Infinite Horizon Problems: A Sobolev Space Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 497-509, September.
    2. Thai Ha Huy & Cuong Le Van, 2014. "Arbitrage and asset market equilibrium in finite dimensional economies with short," Working Papers 2014-122, Department of Research, Ipag Business School.
    3. Ha-Huy, Thai & Le Van, Cuong, 2017. "Existence of equilibrium on asset markets with a countably infinite number of states," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 44-53.
    4. Ha-Huy, Thai & Le Van, Cuong & Nguyen, Manh-Hung, 2016. "Arbitrage and asset market equilibrium in infinite dimensional economies with short-selling and risk-averse expected utilities," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 30-39.
    5. Le Van, Cuong & Truong Xuan, Duc Ha, 2001. "Asset market equilibrium in Lp spaces with separable utilities," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 241-254, December.
    6. Carlos Hervés-Beloso & V. Martins-da-Rocha & Paulo Monteiro, 2009. "Equilibrium theory with asymmetric information and infinitely many states," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 295-320, February.

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